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Finding the Fourth Proportional to 75,682, 104,444.40 and 42,148

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Solution

The fourth proportional to 75,682, 104,444.40 and 42,148 is: 58,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682 : 104,444.40 = 42,148 : x
  2. Step 2: Convert to fraction form
    75,682/104,444.40 = 42,148/x
  3. Step 3: Cross multiply
    75,682x = 104,444.40 × 42,148
  4. Step 4: Simplify right side
    75,682x = 4,402,122,571.20
  5. Step 5: Solve for x
    x = 4,402,122,571.20/75,682
  6. Step 6: Final answer
    x = 58,166.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.